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Finding the Fourth Proportional to 9,809.62, 14,714.57 and 2,789.65

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Solution

The fourth proportional to 9,809.62, 14,714.57 and 2,789.65 is: 4,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.62 : 14,714.57 = 2,789.65 : x
  2. Step 2: Convert to fraction form
    9,809.62/14,714.57 = 2,789.65/x
  3. Step 3: Cross multiply
    9,809.62x = 14,714.57 × 2,789.65
  4. Step 4: Simplify right side
    9,809.62x = 41,048,500.20
  5. Step 5: Solve for x
    x = 41,048,500.20/9,809.62
  6. Step 6: Final answer
    x = 4,184.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.